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" The geometry of spherically symmetric Finsler manifolds / "
Enli Guo, Xiaohuan Mo.
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BL
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| Record Number
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889954
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| Main Entry
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Guo, Enli
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| Title & Author
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The geometry of spherically symmetric Finsler manifolds /\ Enli Guo, Xiaohuan Mo.
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| Publication Statement
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Singapore :: Springer,, 2018.
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| Series Statement
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SpringerBriefs in mathematics,
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| Page. NO
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1 online resource (xiii, 154 pages) :: illustrations
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| ISBN
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9789811315985
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: 9789811315992
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: 9811315981
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: 981131599X
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9789811315978
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9811315973
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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Spherically symmetric Finsler metrics -- Dually flat spherically symmetric metrics -- Spherically symmetric Douglas metrics -- Projectively flat spherically symmetric metrics -- Spherically symmetric metrics of scalar curvature -- Spherically symmetric metrics of constant flag curvature -- Spherically symmetric w-quadratic metrics.
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| Abstract
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This book presents properties, examples, rigidity theorems and classification results of such Finsler metrics. In particular, this book introduces how to investigate spherically symmetric Finsler geometry using ODE or PDE methods. Spherically symmetric Finsler geometry is a subject that concerns domains in R^n with spherically symmetric metrics. Recently, a significant progress has been made in studying Riemannian-Finsler geometry. However, constructing nice examples of Finsler metrics turn out to be very difficult. In spherically symmetric Finsler geometry, we find many nice examples with special curvature properties using PDE technique. The studying of spherically symmetric geometry shows closed relation among geometry, group and equation.--
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| Subject
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Finsler spaces.
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Differential Riemannian geometry.
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Finsler spaces.
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MATHEMATICS-- Geometry-- General.
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Numerical analysis.
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Differential Geometry.
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Global Analysis and Analysis on Manifolds.
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| Dewey Classification
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516.3/75
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| LC Classification
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QA689
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| Added Entry
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Mo, Xiaohuan
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